Question

A girl climbs up a rope of height 8 m in 10 seconds. If mass of girl is 50 Kg, then calculate the

power expended by girl.​

Answer 1

Given :

• Height = 8 m
• Time = 10 s
• Mass of the girl = 50 kg

To find :

• Power

Solution :

The work done by the body to climb the rope will be equal to it's potential energy .

⇒ W = PE

⇒ W = m x g x h

here ,

• W = work
• m = mass
• g = acceleration due to gravity
• h = height

⇒ W = 50 x 10 x 8

⇒ W = 4000 J

Now,

As per the formula ,

⇒ P= W / t

here ,

• P = power
• W = work
• t = time

⇒ P = 4000 / 10

⇒ P = 400 W

The power expended by the girl is 400 W .